Algebraic Geometry Seminar Spring 2018
The seminar meets on Fridays at 2:25 pm in room B113.
Here is the schedule for the previous semester.
Algebraic Geometry Mailing List
- Please join the AGS Mailing List to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).
Spring 2018 Schedule
|January 26||Tasos Moulinos (UIC)||TBA||Michael|
|February 23||Aron Heleodoro (Northwestern)||TBA||Dima|
|March 9||Phil Tosteson (Michigan)||TBA||Steven|
|April 20||Alena Pirutka (NYU)||TBA||Jordan|
|April 27||Alexander Yom Din (Caltech)||TBA||Dima|
Derived Azumaya Algebrais and Twisted K-theory
Topological K-theory of dg-categories is a localizing invariant of dg-categories over the complex numbers taking values in the infinity category of KU-modules. In this talk I describe a relative version of this construction; namely for X a quasi-compact, quasi-separated C-scheme I construct a functor valued in the infinity category of sheaves of spectra on X(C), the complex points of X. For inputs of the form Perf(X, A) where A is an Azumaya algebra over X, I characterize the values of this functor in terms of the twisted topological K-theory of X(C). From this I deduce a certain decomposition, for X a finite CW-complex equipped with a bundle P of projective spaces over X, of KU(P) in terms of the twisted topological K-theory of X ; this is a topological analogue of a result of Quillen’s on the algebraic K-theory of Severi-Brauer schemes.
Alexander Yom Din